Find general solutions of the following systems using undetermined coefficients. X′ =(2x2 matrix) ( 2 2;...

Find general solutions of the following systems using undetermined coefficients.

X′ =(2x2 matrix) ( 2 2; 3 1 ) X + (column matrix) ( e^−4t; 0 )

Expert Solution

Colby Messinger answered 2 years ago

1. Find general solutions of the following systems using undetermined coefficients. a.) x′ = −5x +...

1. Find general solutions of the following systems using undetermined coefficients. a.) x′ = −5x + 6y + 1 y′ = −7y + t . b.) x′ = 6x − 5y + e^5t y′ = x + 4y . c.) x′ = −6x − 3y + te^2t y′ = 4x + y .

a) Using the method of undetermined coefficients, find the general solution of yʺ + 4yʹ −...

a) Using the method of undetermined coefficients, find the general solution of yʺ + 4yʹ − 5y = e^−4x b) Solve xy'=(x+1)y^2 c) Solve the initial value problem : (x−1)yʹ+3y= 1/ (x-1)^2 + sinx/(x-1)^2 , y(0)=3

Find the general solution y(t) to the following ODE using (a) Method of Undetermined Coefficients AND...

Find the general solution y(t) to the following ODE using (a) Method of Undetermined Coefficients AND (b) Variation of Parameters: 2y"-y'+5y = cos(t) - et Sin(t)

Find the general solution of the differential equation using the method of undetermined coefficients y" +...

Find the general solution of the differential equation using the method of undetermined coefficients y" + y' - 6y = x^2

Use the method of undetermined coefficients to find the complete solutions of the following differential equations....

Use the method of undetermined coefficients to find the complete solutions of the following differential equations. d2y/dx2 − 3 dy/dx + 2y = 2x2 + ex + 2xex + 4e3x .

Use the method of Undetermined Coefficients to find a general solution of this system X=(x,y)^T Show...

Use the method of Undetermined Coefficients to find a general solution of this system X=(x,y)^T Show the details of your work: x' = 6 y + 9 t y' = -6 x + 5 Note answer is: x=A cos 4t + B sin 4t +75/36; y=B cos 6t - A sin 6t -15/6 t

Use the Method of Undetermined Coefficients to find the general solution 1) y''-3y'+2=cos(x) 2) y''-3y'+2=xe^x

Use the method of Undetermined Coefficients to find the solution of the boundary value problem x^2...

Use the method of Undetermined Coefficients to find the solution of the boundary value problem x^2 y '' + y' + 2y = 6x +2 y(1) = 0 y(2) = 1

find solutions to the following using Excel's matrix operations?

Find a particular solution yp of the following EQUATIONS using the Method of Undetermined Coefficients. Primes...

Find a particular solution yp of the following EQUATIONS using the Method of Undetermined Coefficients. Primes denote the derivatives with respect to x. y''-16y=cos h(4x) y''+36y=12cos(6x)+18sin(6x) y''+4y'+8y=325e2tcos(5t) y(5)+6y(4)-y=12 y(5)+2y(3)+2y''=8x2-2 SOLVE ALL ~ do ur besest (:

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